The displacement of a particle along the x axis is given by x = a ^2 t . The motion of the particle corresponds to

Step-by-step solution

For a particle executing SHM acceleration (a) - ^2 displacement (x) Given x = a ^2 t Differentiating the above equation w.r.t, we get dx dt =2 a ( t )( t ) Again differentiating, we get aligned & d ^2 x dt ^2 = a =2 a ^2 [ ^2 t - ^2 t ] & =2 a ^2 2 t aligned The given equation does not satisfy the condition for SHM [Eq. (i)] . Therefore, motion is not simple harmonic.